conditional grouping based on group invariant column value

I have a data frame:

temp = as.data.frame(matrix(c(1,2,2,-3,1,1,2,3,-2,0,2,1,-5,1,1,2,1,3,0,0,3,2,4,-1,1,3,2,2,0,1,3,2,4,3,0), ncol=5,byrow = TRUE))
colnames(temp) = c("ID","srch","utility","reutility","code")

I need to group by "ID" column. For any "ID" value, "srch" column stays the same. For each group, if srch > 1 I need min(utility where code==1)-max(reutility where code ==0) else (i.e. if srch<=1) I need it to be 0.

This is the output I need:

temp = as.data.frame(matrix(c(1,4,2,0,3,-1), ncol=2,byrow = TRUE))
colnames(temp)=c("ID","Val")

Any code using dplyr is great but others are welcome too.